Sequential Data - Duane Example - Revision history

Lisa Hacker at 21:22, 18 September 2023

2023-09-18T21:22:02Z

← Older revision		Revision as of 21:22, 18 September 2023
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	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [~~[Duane Model\|~~Reliability ~~Growth and Repairable System Analysis Reference]~~]''.		''This example appears in the [https://help.reliasoft.com/reference/reliability_growth_and_repairable_system_analysis Reliability growth reference]''.
	</noinclude>		</noinclude>

David J. Groebel at 22:03, 3 June 2014

2014-06-03T22:03:51Z

← Older revision		Revision as of 22:03, 3 June 2014
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	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [[Duane Model\|Reliability Growth and Repairable System Analysis Reference ~~book~~]]''.		''This example appears in the [[Duane Model\|Reliability Growth and Repairable System Analysis Reference]]''.
	</noinclude>		</noinclude>

David J. Groebel at 22:19, 2 June 2014

2014-06-02T22:19:27Z

← Older revision		Revision as of 22:19, 2 June 2014
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	<li>The following figure shows the data set entered into RGA along with the estimated Duane parameters.		<li>The following figure shows the data set entered into RGA along with the estimated Duane parameters.

	[[Image:rga4.19.png~~\|thumb~~\|center\|~~400px\|Entered data and the estimated parameters.~~]]		[[Image:rga4.19.png\|center\|600px]]
	</li>		</li>
	<li>The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure.		<li>The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure.
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	<li>The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to <math>42.2481-20=22.2481\approx 23\,\!</math> test runs.		<li>The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to <math>42.2481-20=22.2481\approx 23\,\!</math> test runs.

	[[Image:rga4.20.png\|center\|~~400px\|Number of test runs with a one-sided 90% confidence level required to meet an instantaneous MTBF goal of 5 hours.~~]]		[[Image:rga4.20.png\|center\|450px]]
	</li></ol>		</li></ol>

Chris Kahn at 23:22, 31 January 2014

2014-01-31T23:22:57Z

← Older revision		Revision as of 23:22, 31 January 2014
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	Given the sequential success/failure data in the table below, do the following:		Given the sequential success/failure data in the table below, do the following:

	1) Estimate the Duane parameters.		#Estimate the Duane parameters.
			#What is the instantaneous Reliability at the end of the test?
	2) What is the instantaneous Reliability at the end of the test?		#How many additional test runs with a one-sided 90% confidence level are required to meet an instantaneous Reliability goal of 80%?

	3) How many additional test runs with a one-sided 90% confidence level are required to meet an instantaneous Reliability goal of 80%?

	{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"		{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
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	'''Solution'''		'''Solution'''
			<ol>
	1) The following figure shows the data set entered into RGA along with the estimated Duane parameters.		<li>The following figure shows the data set entered into RGA along with the estimated Duane parameters.

	[[Image:rga4.19.png\|thumb\|center\|400px\|Entered data and the estimated parameters.]]		[[Image:rga4.19.png\|thumb\|center\|400px\|Entered data and the estimated parameters.]]
			</li>
	2) The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure.		<li>The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure.
			</li>
	3) The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to <math>42.2481-20=22.2481\approx 23\,\!</math> test runs.		<li>The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to <math>42.2481-20=22.2481\approx 23\,\!</math> test runs.

	[[Image:rga4.20.png\|center\|400px\|Number of test runs with a one-sided 90% confidence level required to meet an instantaneous MTBF goal of 5 hours.]]		[[Image:rga4.20.png\|center\|400px\|Number of test runs with a one-sided 90% confidence level required to meet an instantaneous MTBF goal of 5 hours.]]
			</li></ol>

David J. Groebel at 22:57, 30 January 2014

2014-01-30T22:57:04Z

← Older revision		Revision as of 22:57, 30 January 2014
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	Given the sequential success/failure data in the table below, do the following:		Given the sequential success/failure data in the table below, do the following:

	:1) Estimate the Duane parameters.		1) Estimate the Duane parameters.
	:2) What is the instantaneous Reliability at the end of the test?
	:3) How many additional test runs with a one-sided 90% confidence level are required to meet an instantaneous Reliability goal of 80%?		2) What is the instantaneous Reliability at the end of the test?

			3) How many additional test runs with a one-sided 90% confidence level are required to meet an instantaneous Reliability goal of 80%?

	{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"		{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
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	'''Solution'''		'''Solution'''

	:1) The following figure shows the data set entered into RGA along with the estimated Duane parameters.		1) The following figure shows the data set entered into RGA along with the estimated Duane parameters.

	[[Image:rga4.19.png\|thumb\|center\|400px\|Entered data and the estimated parameters.]]		[[Image:rga4.19.png\|thumb\|center\|400px\|Entered data and the estimated parameters.]]

	:2) The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure.		2) The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure.
	:3) The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to <math>42.2481-20=22.2481\approx 23\,\!</math> test runs.
			3) The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to <math>42.2481-20=22.2481\approx 23\,\!</math> test runs.

	[[Image:rga4.20.png\|center\|400px\|Number of test runs with a one-sided 90% confidence level required to meet an instantaneous MTBF goal of 5 hours.]]		[[Image:rga4.20.png\|center\|400px\|Number of test runs with a one-sided 90% confidence level required to meet an instantaneous MTBF goal of 5 hours.]]

Kate Racaza: Created page with '{{Banner RGA Examples}} ''This example appears in the Reliability Growth and Repairable System Analysis Reference book''. Given the seque…'

2013-11-21T22:26:34Z

Created page with '<noinclude>{{Banner RGA Examples}} ''This example appears in the Reliability Growth and Repairable System Analysis Reference book''. </noinclude> Given the seque…'

New page

<noinclude>{{Banner RGA Examples}}
''This example appears in the [[Duane Model|Reliability Growth and Repairable System Analysis Reference book]]''.
</noinclude>

Given the sequential success/failure data in the table below, do the following:

:1) Estimate the Duane parameters.
:2) What is the instantaneous Reliability at the end of the test?
:3) How many additional test runs with a one-sided 90% confidence level are required to meet an instantaneous Reliability goal of 80%?

{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
|+'''Sequential Data'''
!Run Number
!Result
|-
|1|| F
|-
|2|| F
|-
|3|| S
|-
|4|| S
|-
|5|| S
|-
|6|| F
|-
|7|| S
|-
|8|| F
|-
|9|| F
|-
|10|| S
|-
|11|| S
|-
|12|| S
|-
|13|| F
|-
|14|| S
|-
|15|| S
|-
|16|| S
|-
|17|| S
|-
|18|| S
|-
|19|| S
|-
|20|| S
|}

'''Solution'''

:1) The following figure shows the data set entered into RGA along with the estimated Duane parameters.

[[Image:rga4.19.png|thumb|center|400px|Entered data and the estimated parameters.]]

:2) The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure.
:3) The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to <math>42.2481-20=22.2481\approx 23\,\!</math> test runs.

[[Image:rga4.20.png|center|400px|Number of test runs with a one-sided 90% confidence level required to meet an instantaneous MTBF goal of 5 hours.]]